Interest Rate Swap

An interest rate swap exchanges rate-based cash flows on a notional amount, commonly converting fixed-rate exposure to floating-rate exposure or vice versa.

An interest rate swap is a derivative contract in which two parties exchange interest-rate cash flows calculated on a specified notional amount. In the most common single-currency structure, one party pays a fixed rate and receives a floating reference rate, while the other party takes the opposite side.

The notional amount usually is not lent or exchanged. It is the calculation base for the two payment legs. The swap can change the economic rate exposure of a loan, bond, asset, or portfolio without canceling or transferring that underlying position.

Key Takeaways

  • A plain-vanilla interest rate swap exchanges fixed-rate and floating-rate payments in one currency.
  • The notional amount scales the payments but normally does not change hands.
  • Pay-fixed, receive-floating positions generally gain value when relevant market swap rates rise, while receive-fixed positions generally gain when rates fall.
  • A swap changes rate exposure; it does not eliminate the underlying debt, asset, or credit obligation.
  • Reference rate, spread, reset dates, payment frequency, day-count convention, calendars, and maturity all affect cash flows.
  • Market value can become positive or negative even if the swap began near zero value.
  • A par swap rate equates the present value of the fixed and floating legs under the pricing assumptions; it is not a forecast that every future floating reset will equal that rate.
  • Notional alone is a poor measure of rate sensitivity because maturity, payment schedule, curve shape, and embedded options also matter.
  • Clearing, collateral, netting, counterparty credit, basis, and termination terms can be as important as the quoted fixed rate.

How a Fixed-for-Floating Swap Works

Assume Company A enters a five-year U.S. dollar swap with Dealer B:

  • notional amount: USD 10 million;
  • Company A pays a 4.20% fixed rate;
  • Company A receives a specified floating reference rate;
  • both legs pay quarterly; and
  • cash flows are netted when the agreement permits.

Company A is the fixed-rate payer and floating-rate receiver. Dealer B is the fixed-rate receiver and floating-rate payer. No ownership of the underlying loan or bond needs to transfer.

For a simple payment period:

Fixed payment = notional x fixed rate x day-count fraction

Floating payment = notional x observed floating rate x day-count fraction

Actual confirmations can use compounded overnight rates, payment lags, lookbacks, spreads, floors, different day-count conventions, and other adjustments. The executed terms control.

Worked Example: Quarterly Swap Payment

Continue the example with a 90-day period and an assumed 90/360 day-count fraction.

The fixed payment is:

USD 10,000,000 x 4.20% x 90/360 = USD 105,000

If the floating rate for that period is 3.85%, the floating payment is:

USD 10,000,000 x 3.85% x 90/360 = USD 96,250

Company A pays the net difference:

USD 105,000 - USD 96,250 = USD 8,750

If the floating rate for a later 90-day period is 4.75%, the floating leg would be USD 118,750 and Company A would receive USD 13,750 net for that period.

This example isolates interest payments. A real swap may use actual calendar days, compounding, payment delays, holiday rules, collateral interest, fees, and nonmatching leg conventions.

Cash Flows Across Four Quarterly Periods

With the same USD 10 million notional, 4.20% fixed rate, and simplified 90/360 quarters, the fixed payment remains USD 105,000 while the floating payment changes:

QuarterFloating rateFixed paymentFloating receiptNet to fixed-rate payer
13.85%USD 105,000USD 96,250Pays USD 8,750
24.40%USD 105,000USD 110,000Receives USD 5,000
34.75%USD 105,000USD 118,750Receives USD 13,750
44.00%USD 105,000USD 100,000Pays USD 5,000

Netted payment reduces the cash transferred between the parties; it does not change the gross fixed and floating amounts used to calculate the net result. If the legs pay on different dates or in different currencies, a simple same-day net may not apply.

Converting Floating-Rate Debt to Fixed Exposure

Suppose a company has a loan that costs SOFR + 1.75%. It enters a swap that:

  • pays 3.90% fixed; and
  • receives the same SOFR exposure used by the loan.

Ignoring timing differences, fees, credit adjustments, and basis risk, the combined annualized rate is:

Loan: SOFR + 1.75%

Swap: +3.90% - SOFR

Combined rate: 5.65%

The floating receipts from the swap offset the loan’s floating benchmark, leaving the loan spread plus the swap fixed rate. The debt still exists, and the borrower still owes the lender. It also has a separate derivative position with its own market value, collateral, counterparty, and termination risk.

The offset is imperfect if the loan and swap use different SOFR conventions, reset dates, day counts, maturities, principal schedules, floors, or prepayment behavior.

Converting Fixed-Rate Debt to Floating Exposure

The opposite overlay is also possible. Suppose a company has 5.25% fixed-rate debt and enters a swap that receives 4.00% fixed and pays SOFR. Ignoring mismatches and costs:

Debt: 5.25% fixed

Swap: -4.00% fixed + SOFR

Combined rate: SOFR + 1.25%

The company has not refinanced the debt. It still owes 5.25% to the lender and separately exchanges cash flows under the swap. If SOFR rises, the swap’s floating payments rise even though the bond or loan coupon does not change. This structure therefore replaces fixed-rate certainty with floating-rate exposure and can create collateral or liquidity demands before the debt matures.

Pay Fixed vs. Receive Fixed

PositionPaysReceivesGeneral rate sensitivity
Pay fixed, receive floatingContract fixed rateFloating reference rateUsually benefits when comparable market swap rates rise
Receive fixed, pay floatingFloating reference rateContract fixed rateUsually benefits when comparable market swap rates fall

This directional summary is not a complete valuation. Yield-curve shape, remaining cash flows, discounting, reset timing, basis spreads, collateral terms, and optionality can alter the result.

Common Interest Rate Swap Structures

StructureCash-flow exchangeTypical exposure
Fixed-for-floating swapFixed rate against a floating reference rateConverts fixed and floating rate profiles
Basis swapOne floating reference or tenor against anotherManages mismatch between floating exposures
Overnight Index SwapFixed rate against compounded or averaged overnight-rate exposureTransfers overnight-rate expectations and risk
Forward-starting swapSwap begins on a future effective dateLocks or hedges future rate exposure
Amortizing swapNotional declines on a scheduleCan follow a reducing loan or asset balance
Accreting swapNotional increases on a scheduleCan follow staged financing or growing exposure
Zero-coupon swapOne leg pays periodically while another compounds or pays laterChanges payment timing and reinvestment exposure

A cross-currency swap is different because it has two currencies and can exchange principal amounts. A swaption is an option to enter or receive value from a swap, not an ordinary interest rate swap already in effect.

Reference Rates and Conventions

The floating leg must specify more than a benchmark name. Important terms include:

  • benchmark administrator and exact rate version;
  • overnight compounded, averaged, or term methodology;
  • observation period, lookback, lockout, or payment delay;
  • reset and payment frequency;
  • spread added to or subtracted from the benchmark;
  • day-count convention and business-day adjustment;
  • fallback provisions if the rate is unavailable or discontinued; and
  • rounding, calculation agent, and correction procedures.

SOFR is a broad measure of overnight borrowing secured by Treasury securities and is published by the Federal Reserve Bank of New York. A swap may use compounded SOFR over a period rather than one day’s published rate.

Two contracts labeled “SOFR swaps” can therefore produce different cash flows if their compounding, timing, or spread conventions differ.

How an Interest Rate Swap Is Valued

At inception, the fixed rate on a standard market swap is commonly set so the present value of the fixed leg approximately equals the present value of the floating leg, before transaction-specific charges or adjustments. The swap therefore may begin near zero market value even though its notional is large.

For the fixed-rate payer:

$$ V_{\text{pay fixed}} = PV(\text{floating receipts})-PV(\text{fixed payments}) $$

Valuation requires projected floating cash flows and discount factors for each payment date. Dealers and analysts also consider collateral terms, funding, counterparty credit, bid-ask spread, model conventions, and any embedded optionality.

The Notional Value is therefore not the swap’s market value or maximum loss. A USD 100 million one-year swap and a USD 100 million 20-year swap have the same notional but very different rate sensitivity.

Simplified Par Swap Rate

For a plain fixed-for-floating swap starting today, under a simplified single-curve framework and immediately after a floating reset, the par fixed rate can be written as:

$$ K_{\text{par}} = \frac{1-P(0,T_n)} {\sum_{i=1}^{n}\alpha_iP(0,T_i)} $$

Here, (P(0,T_i)) is the discount factor to payment date (T_i), (\alpha_i) is the fixed-leg day-count fraction, and the denominator is the fixed-leg swap annuity.

For a three-year annual-pay swap with discount factors 0.96, 0.92, and 0.88, and annual fractions of 1.0:

$$ K_{\text{par}} = \frac{1-0.88}{0.96+0.92+0.88} = 4.3478\% $$

On a USD 10 million notional, the annual fixed payment is about USD 434,783. Its present value is USD 1.2 million, equal to the simplified floating-leg value of USD 10 million x (1 - 0.88). That equality is why the swap begins near zero value under these assumptions.

Modern collateralized swap valuation commonly separates the curve used to project floating cash flows from the curve used to discount them. The formula above is a teaching model, not a replacement for the contract’s valuation methodology or executable market quotes.

Worked Mark-to-Market Example

Assume a pay-fixed swap has USD 10 million notional, a 4.00% fixed rate, and three annual payments remaining. Value it immediately after a floating reset using current discount factors of 0.95, 0.89, and 0.83 and the same simplified single-curve assumptions.

The fixed-leg present value is:

$$ PV_{\text{fixed}} = \$10{,}000{,}000 \times 0.04 \times(0.95+0.89+0.83) = \$1{,}068{,}000 $$

The floating-leg present value is:

$$ PV_{\text{floating}} = \$10{,}000{,}000\times(1-0.83) = \$1{,}700{,}000 $$

The illustrative value to the fixed-rate payer is therefore:

$$ V_{\text{pay fixed}} = \$1{,}700{,}000-\$1{,}068{,}000 = \$632{,}000 $$

The current par rate implied by those discount factors is about 6.37%, so paying the old 4.00% rate is favorable. This is a clean rate-only illustration. A dealer closeout value can differ because of accrued amounts, exact reset status, separate projection and discount curves, collateral, credit and funding adjustments, bid-ask spread, and contract terms.

Rate Sensitivity Is More Than Notional

Analysts commonly measure a swap’s sensitivity using present-value change for a small rate move, often expressed as PV01 or DV01. The amount depends on the timing and size of remaining net cash flows, not merely the notional.

A longer swap usually has greater sensitivity than a shorter swap with the same notional because more cash flows remain exposed to discount-rate and forward-rate changes. An amortizing swap usually has less sensitivity than a bullet-notional swap with the same opening notional. Curve movements also need not be parallel: a change in one maturity segment can affect projected resets and discounting differently from a uniform shift.

For risk review, pair notional with maturity, fixed rate, payment frequency, reset schedule, notional profile, current market value, PV01 or DV01, and key-rate or curve-bucket sensitivities. No single measure captures basis, optionality, credit, collateral, and liquidity risk.

Interest Rate Swap vs. Alternatives

Instrument or actionMain distinction
Refinance the debtReplaces or changes the financing itself; may require lender consent, fees, and new credit terms
Interest rate swapAdds a two-sided fixed/floating exchange while the original debt or asset remains
Interest Rate OptionProvides asymmetric protection in exchange for premium or another option tradeoff
Forward Rate AgreementSettles a rate difference for a specified future borrowing or investment period
Interest Rate FuturesStandardized exchange-traded contracts with daily margining and contract basis risk
Cap or collarLimits rate exposure above or within specified levels rather than fully exchanging fixed and floating profiles

The best comparison matches amount, term, benchmark, reset frequency, amortization, collateral, liquidity, and prepayment behavior rather than comparing quoted rates alone.

Clearing, Collateral, and Counterparty Structure

Some interest rate swaps are centrally cleared, while others remain bilateral. In the United States, CFTC rules require certain classes of interest rate swaps to be cleared, subject to the applicable scope, participants, and exceptions.

Clearing replaces bilateral exposure with exposure managed through a derivatives clearing organization and its members, but it does not remove all risk. Initial margin, variation margin, default procedures, liquidity needs, and clearing-member exposure remain relevant.

Bilateral swaps commonly use master agreements, collateral documentation, netting provisions, valuation procedures, and termination rights. A favorable swap value is still a claim whose recovery depends on the contract and counterparty structure.

Variation margin or bilateral collateral can reduce unsecured current exposure, but it can create significant cash-management demands. Initial margin, where applicable, protects against potential exposure during closeout rather than serving as a down payment on the notional. Posted collateral, current market value, and notional are therefore different amounts.

Netting also requires precision. Payment netting reduces eligible amounts due on the same date and in the same currency. Closeout netting combines covered transaction values after a termination event. Neither should be assumed without checking the governing documents, clearing rules, and legal enforceability.

Prepayment and Early-Termination Example

Suppose a floating-rate loan is repaid early, but its pay-fixed swap still has USD 10 million notional and three years remaining. The swap fixed rate is 3.90%, while the current comparable market fixed rate has fallen to 2.50%. If the remaining fixed-leg annuity factor is 2.75, a simplified rate-only value to the fixed-rate payer is:

$$ V \approx \$10{,}000{,}000 \times 2.75 \times(0.025-0.039) = -\$385{,}000 $$

The negative amount indicates an approximate termination cost before accrued amounts, dealer spread, credit, funding, fees, and documentation adjustments. If rates had risen above 3.90%, the swap might instead have positive value. Either way, repaying the loan does not automatically cancel the derivative.

This scenario is why borrowers should align the swap’s notional schedule with expected amortization and define what happens after prepayment, refinancing, asset sale, covenant breach, or other early exit. A swap can remain legally valid after its intended hedge exposure disappears.

Risks and Common Mistakes

  • Interest-rate risk: Market-value losses can arise when the yield curve moves against the position.
  • Basis risk: The swap benchmark or tenor may not match the underlying loan, asset, or liability.
  • Counterparty risk: A bilateral counterparty may fail when the swap has positive value to the other party.
  • Collateral liquidity: Adverse mark-to-market changes can require cash or eligible collateral on short notice.
  • Termination risk: Ending a swap early can require a substantial closeout payment.
  • Rollover and maturity mismatch: The underlying exposure may continue after the swap ends, or disappear before it ends.
  • Prepayment risk: A loan can amortize or refinance while the hedge remains outstanding.
  • Model and valuation risk: Curves, discounting, spreads, and optional features affect fair value.
  • Operational risk: Incorrect rate observations, calendars, confirmations, or settlement instructions can change payments.
  • Legal and accounting risk: Enforceability, netting, hedge accounting, and disclosure conclusions depend on the facts and governing framework.

Common mistakes include treating notional as principal exchanged, assuming a swap erases debt, comparing fixed rates without matching conventions, and calling a hedge complete without testing amount and timing mismatches.

How to Evaluate an Interest Rate Swap

  1. Identify which party pays fixed and which pays floating.
  2. Confirm currency, notional schedule, effective date, maturity, and payment dates.
  3. Read the exact fixed rate, floating benchmark, spread, compounding method, and fallback.
  4. Recalculate sample cash flows using the stated day-count and reset rules.
  5. Compare the swap with the actual loan, bond, asset, or portfolio exposure.
  6. Measure duration, curve, and basis sensitivity rather than relying on notional alone.
  7. Review current market value, collateral requirements, margin liquidity, and closeout terms.
  8. Determine whether the swap is cleared or bilateral and identify each relevant counterparty.
  9. Stress-test rate shifts, curve changes, prepayment, benchmark mismatch, and early termination.
  10. Obtain qualified accounting, legal, tax, and regulatory analysis where required.
  11. Reconcile swap cash flows, collateral, and closeout values independently of the underlying debt ledger.

Authoritative Sources

This article is educational and does not recommend a swap, hedge, financing structure, benchmark, counterparty, or accounting treatment. Interest rate swaps can create market losses, collateral calls, counterparty exposure, and costly termination obligations.

Knowledge Check

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  • Swap: The broader family of contracts that exchange defined cash-flow streams.
  • Notional Value: The amount used to scale swap payments rather than the swap’s market value.
  • Floating-Rate Loan: A borrowing whose changing benchmark exposure may be overlaid with a swap.
  • Asset Swap: A package combining a fixed-income asset with a swap to reshape its cash flows.
  • Overnight Index Swap: A fixed-for-floating swap whose floating leg references an overnight rate.
  • Swap Rate: The fixed rate that equates the present values of the relevant swap legs under the pricing assumptions.
  • Duration: A complementary measure for understanding interest-rate sensitivity and cash-flow timing.
  • Basis Risk: The risk that the swap and the hedged exposure do not move together as expected.
  • Hedging: Using an offsetting position to reduce a defined risk while retaining other exposures.

FAQs

Is the notional amount exchanged in an interest rate swap?

Normally not in a plain-vanilla single-currency interest rate swap. The notional amount is used to calculate payments. Cross-currency swaps and unusual structures can involve principal exchanges, so the contract must be checked.

Does paying fixed make borrowing cost completely fixed?

Not automatically. Loan spreads, benchmark mismatches, floors, reset timing, fees, collateral costs, principal changes, and prepayment can prevent a perfect offset.

What happens to a pay-fixed swap when rates rise?

Its market value generally improves because the contract fixed rate becomes more favorable relative to higher market swap rates. The exact result depends on the full yield curve, remaining term, cash-flow conventions, and valuation adjustments.

Can an interest rate swap be terminated early?

It may be closed, assigned, compressed, or terminated under the applicable agreement, but a market-value payment and transaction costs may be required. Consent, clearing, collateral, and documentation rules can also apply.
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